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EOC Practice #2 SPI

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EOC Practice #2 Write an equation symbolically to express a contextual problem.

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**1. Trevor Benjamin is a salesperson who is**

paid a monthly salary of $500 plus 2% commission on sales. Write an equation that represents Trevor’s monthly salary. A. S = 2x + 500 B. S = 500x + .02 C. S = .02x + 500 D. S = .05x + 2

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**Mrs. Doubtfire is planning to place a fence around her backyard**

Mrs. Doubtfire is planning to place a fence around her backyard. The fencing costs $1.95 per yard. She buys f yards of fencing and pays $3.50 in tax. If the total cost of the fencing is $81.50, write an equation to represent the situation. A f = 81.50 B f = 81.50 C f = 81.50 D f – 1.95 = 81.50

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**For questions 2 and 3, use the following information.**

Dollywood first opened in 1961 as a small tourist attraction named “Rebel Railroad.” After several name changes, Dolly Parton became co-owner in 1986 and the park was renamed “Dollywood.”

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**Let y represent the number of years **

after 1961 that the park was renamed Dollywood. Write an expression for the year the park was renamed. A – y B – y C y D y

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**Write an equation to represent the**

year the park was renamed. A y = 1986 B y = 1961 C. y = 1986 D. y – 1986 = 1961

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**Mrs. Doubtfire is planning to place a fence**

around her backyard. The fencing costs $1.95 per yard. She buys f yards of fencing and pays $3.50 in tax. If the total cost of the fencing is $81.50, write an equation to represent the situation. A f = 81.50 B f = 81.50 C f = 81.50 D f – 1.95 = 81.50

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**During a one-hour episode of Numb3rs,**

the entertainment portion lasted 15 minutes longer than 4 times the advertising portion. If a represents the time spent on advertising, write an equation to represent the situation. A. 4a + 15 = 60 B. 4(a + 15) = 60 C. a(4a + 15) = 60 D. a + (4a + 15) = 60

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**Karen works for $6 an hour. A total of 25%**

of her salary is deducted for taxes and insurance. She is trying to save $450 for a new car stereo and speakers. Write an equation to represent how many hours Karen must work to take home $450 if she saves all of her earnings. A. 6h – 0.25(6h) = 450 B. 6h – 0.25h = 450 C. 6(0.25h) = 450 D h = 0.25(6h)

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The Answers

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**1. Trevor Benjamin is a salesperson who is**

paid a monthly salary of $500 plus 2% commission on sales. Write an equation that represents Trevor’s monthly salary. A. S = 2x + 500 B. S = 500x + .02 C. S = .02x + 500 D. S = .05x + 2

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**For questions 2 and 3, use the following information.**

Dollywood first opened in 1961 as a small tourist attraction named “Rebel Railroad.” After several name changes, Dolly Parton became co-owner in 1986 and the park was renamed “Dollywood.”

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**2. Let y represent the number of years **

after 1961 that the park was renamed Dollywood. Write an expression for the year the park was renamed. A – y B – y C y D y

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**3. Write an equation to represent the**

year the park was renamed. A y = 1986 B y = 1961 C. y = 1986 D. y – 1986 = 1961

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**Mrs. Doubtfire is planning to place a fence**

around her backyard. The fencing costs $1.95 per yard. She buys f yards of fencing and pays $3.50 in tax. If the total cost of the fencing is $81.50, write an equation to represent the situation. A f = 81.50 B f = 81.50 C f = 81.50 D f – 1.95 = 81.50

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**During a one-hour episode of Numb3rs,**

the entertainment portion lasted 15 minutes longer than 4 times the advertising portion. If a represents the time spent on advertising, write an equation to represent the situation. A. 4a + 15 = 60 B. 4(a + 15) = 60 C. a(4a + 15) = 60 D. a + (4a + 15) = 60

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**Karen works for $6 an hour. A total of 25%**

of her salary is deducted for taxes and insurance. She is trying to save $450 for a new car stereo and speakers. Write an equation to represent how many hours Karen must work to take home $450 if she saves all of her earnings. A. 6h – 0.25(6h) = 450 B. 6h – 0.25h = 450 C. 6(0.25h) = 450 D h = 0.25(6h)

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